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Finding the Third Proportional to 88,949.25 and 195,394.50

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Solution

The third proportional to 88,949.25 and 195,394.50 is: 429,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,949.25 : 195,394.50 = 195,394.50 : x
  2. Step 2: Convert to fraction form
    88,949.25/195,394.50 = 195,394.50/x
  3. Step 3: Cross multiply
    88,949.25x = 195,394.50 × 195,394.50
  4. Step 4: Simplify right side
    88,949.25x = 38,179,010,630.25
  5. Step 5: Solve for x
    x = 38,179,010,630.25/88,949.25
  6. Step 6: Final answer
    x = 429,222.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.